Global Solution to an H-infinity Control Problem for Control-affine Systems
(2022) 25th IFAC Symposium on Mathematical Theory of Networks and Systems, MTNS 2022 55. p.388-393- Abstract
In this paper, we present a global solution to a nonlinear H-infinity optimal control problem for control-affine systems with an associated potential function. We also give a closed-form expression for an optimal controller and demonstrate its potential for sparsity. This paper thus advances a recent result which considers the same problem restricted to systems with symmetric state matrix and nonlinear input matrix. We further apply the main result to obtain a simpler and more intuitive statement for a class of systems capable of modeling nonlinear buffer networks.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/446617ba-3fff-47f3-afc9-231d200c1001
- author
- Vladu, Emil LU and Rantzer, Anders LU
- organization
- publishing date
- 2022
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- distributed control, H-infinity control, large-scale systems, nonlinear systems, robust control
- host publication
- IFAC-PapersOnLine
- volume
- 55
- pages
- 6 pages
- conference name
- 25th IFAC Symposium on Mathematical Theory of Networks and Systems, MTNS 2022
- conference location
- Bayreuthl, Germany
- conference dates
- 2022-09-12 - 2022-09-16
- external identifiers
-
- scopus:85144824143
- DOI
- 10.1016/j.ifacol.2022.11.084
- language
- English
- LU publication?
- yes
- id
- 446617ba-3fff-47f3-afc9-231d200c1001
- date added to LUP
- 2023-01-12 16:14:00
- date last changed
- 2023-11-21 15:30:20
@inproceedings{446617ba-3fff-47f3-afc9-231d200c1001, abstract = {{<p>In this paper, we present a global solution to a nonlinear H-infinity optimal control problem for control-affine systems with an associated potential function. We also give a closed-form expression for an optimal controller and demonstrate its potential for sparsity. This paper thus advances a recent result which considers the same problem restricted to systems with symmetric state matrix and nonlinear input matrix. We further apply the main result to obtain a simpler and more intuitive statement for a class of systems capable of modeling nonlinear buffer networks.</p>}}, author = {{Vladu, Emil and Rantzer, Anders}}, booktitle = {{IFAC-PapersOnLine}}, keywords = {{distributed control; H-infinity control; large-scale systems; nonlinear systems; robust control}}, language = {{eng}}, pages = {{388--393}}, title = {{Global Solution to an H-infinity Control Problem for Control-affine Systems}}, url = {{http://dx.doi.org/10.1016/j.ifacol.2022.11.084}}, doi = {{10.1016/j.ifacol.2022.11.084}}, volume = {{55}}, year = {{2022}}, }